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Transport of Powders through Rotary Kilns :
Experimental Study and Modelling
M. Debacq, D. Hartmann, J.L. Houzelot, D. Ablitzer
ECCE2,
October 5-7, 1999,
Montpellier, France.
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
OUTLINE
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
OUTLINE
During the nuclear fuel cycle ...
depleted UF6
U3O8
storagekiln A
enrichment
enriched UF6
UO2
nuclear
reactor
kiln B
Conversion Reactor
hydrolysis
VERTICAL
REACTOR
U3O8
or
UO2
H2O
N2
UF6
H2O, H2
H2O, HF,
H2, N2
Archimedes' screw
heating devicelifter
baffle (only in kiln B)
pyrohydrolysis
ROTARY KILNUO2F2
H2O, HF, H2
Cross section :
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
OUTLINE
Transverse Bed Motion
general view
cross section
rotary kilns without inner equipment
Transverse bed motion
varies with and material properties
Rolling bed regime
favourable for heat and mass transfer
Mean Residence Time and R.T.D.
Axial transport
essentially plug flow with low dispersion
Mean residence time = function of
design parameters (L, R, )
material properties (, dp)
operating parameters (Q, )1
?QL
rotary kilns without inner equipment
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
OUTLINE
R.T.D. Measurement
Isotopic tracer technique
square signal of more enriched UF6 into vertical reactor
gamma radiation measurement and
Parameters
feed rate Q
rotational speed
U3O8
or
UO2
H2O, H2
H2O, HF,
H2, N2
UO2F2
H2O,
HF, H2
H2O
N2
UF6
Despite production necessities, RTD measurements on both industrial kilns
UF6
injection
plug flow with low dispersion
rotary kiln outlet
rotary kiln inlet
0.45 % 235U
0.29 % 235U
kiln A kiln B
0.23 % 235U
4 % 235U
Comparison with Correlations from Literature
0 1Q
0 1Q
0.2 0.8Q
1.2 0.9Q
kg/h 895 508 712 888 889
rpm 2.1 2.1 2.1 2.7 1.6
experiment 19 37 23 16 26
Afacan 28 30 28 22 36
Das Gupta 25 28 26 20 31
Ronco 21 22 21 16 26
kg/h Q1 Q2 Q1 Q1 Q3
rpm 1 2 2 3 4
experiment 14.7 29.8 29.5 18.7 15.0
Afacan 13.8 30.2 29.3 18.6 14.1
Das Gupta 13.2 28.4 27.2 17.6 13.5
Ronco 13.5 30.3 29.5 18.5 13.5
kiln
Akiln
B
min
min
feed rate (UF6)
rotational speed
mean
residence
time
feed rate (UF6)
rotational speed
mean
residence
time
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
OUTLINE
Models for Bed Depth Profiles
Kramers then Afacan
Das Gupta
Ronco
boundary condition hL = hlifter
2/32
3v
R
h
R
h2
R4
tanQ3
cos
tan
dx
dh
2
2 2
3 / 22
v
3 2
1
2 h h1
R R2 h h h1 ln
hR R R1
Rdh tan 3 Q tan 2 h h
dx cos 4 R R R h h 2 h hcos 1 1
R R R R
75.03v
ZD
sinQ4'Ktan
dx
dh
L
0
v
L
0
dxQ
A
u
dx
Results
0
10
20
30
40
50
fill
ing
ra
tio
[%
] in
kil
n A
.
0
2
4
6
8
10
12
14
fill
ing
ra
tio
[%
] in
kil
n B
.
Afacan
Das Gupta
Ronco
kiln input kiln output
higher than usually estimated by industrial kiln operators
improve models to take lifters, perhaps baffles, into account
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
OUTLINE
kiln B
kiln A
Scale Models (Working at room temperature)
behaviour filmed through the glass end wall
( operating parameters)
image analysis proportion of powder lifted
influence of baffles on the axial motion
(in a one meter long model with a glass wall)
A segment of the corresponding industrial kiln
Powder Pouring from Lifters
Qualitative Observations
large amounts of powder hold
unload progressively
well-mixed state after only 2 or 3 revolutions
axial motion : powder retention above baffles (if filling ratio is high enough)
Typical filling of lifters :
efficient powder/gas contact
lifter position
po
wd
er
fra
cti
on
angle of
end of unloading :
140 °
Behaviour during Discharge
Identical for any :
rotational speed
filling ratio
powder
kiln
lifter angular position (towards horizontal)
fra
ctio
n o
f p
ow
de
r in
th
e lifte
r
(to
wa
rds to
tal m
od
el vo
lum
e)
Unloading law
0.00013 140
Will be used for
calculation of powder / gas contact area
conversion
heat transfer
geometrical description of the motion of a particle
bed depth profile
mean residence time
OUTLINE
Introduction
Previous studies
Axial transport in rotary kilns with inner equipment
R.T.D.
Bed depth profiles
Transverse motion in rotary kilns with inner equipment
Final remarks
Conclusions
Axial transport
plug flow with low dispersion
mean residence time kiln A
kiln B
3 models tested for bed depth profiles
Transverse motion of cohesive powders in rotary kilns with inner equipment
unique and simple unloading law
1.2 0.9
0.2 0.8
Q
Q
0.00013 140
Prospects
Experimental and theoretical studies
effect of gas countercurrent
effect of temperature
Global mathematical model of the kiln
hydrodynamics of cohesive powders in rotary kilns with inner equipment
mean residence time
bed depth profiles
use of powder size distribution to calculate : powder / gas contact area